Given f(x) = x2 + 1 and g(x) = |x + 31| which value of x is a
solution to the equation f(x) = g(x)?

Answer:

it would be 5x

Step-by-step explanation:

5x^2-15x

would be 5x because dividing by 5x you would get 5x(x-3)

but if its 5*2-15x, I don't know

Answer:

1/6

Step-by-step explanation:

Check the attachment.

Answer:

C. rectangle is cross section shape

Answer:

  see attached

Step-by-step explanation:

An amortization schedule is conveniently prepared using a spreadsheet. It has the formula built in for computing the payment value.

__

The amount of the payment going to interest is the product of the outstanding balance and the monthly interest rate (=6%/12). In the attached, the amount of interest due is rounded to cents. The remaining amount of the payment reduces the outstanding balance.

The attachment shows the payment calculation and the amortization schedule for the first 5 payments.

Answer:

4 and 6

Step-by-step explanation:

first you must write your let statements

let x = smaller integer

let y = bigger integer

y - x = 2

x + y^2 = 40

then you use substition to find your anaswer

x = y - 2

y - 2 + y^2 = 40

y^2 + y - 42 = 0

then find the numbers that add up to 1 and multiply to -42

-6 and 7

y^2 + 7y - 6y - 42

y(y + 7) - 6(y + 7)

(y - 6)(y + 7)

set both sides equal to 0

y = 6, -7

y must be positive so it is 6

then plug y into one of the equations to get your answer

6 - x = 2

x = 4

your answer is 4 and 6

[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =2\\ s=99 \end{cases}\implies 99 = r(2)\implies \cfrac{99}{2}=r\implies 49.5=r[/tex]

Answer:

A.

Step-by-step explanation:

Answer A. It works because the pairs of socks for 2.49 each and the 14.99 shirt need to be less than 25.

Answer: 1.115 metres

Step-by-step explanation:

     The radius is half the diameter.

2,230 mm / 2 = 1,115 mm

     To turn mm into metres, we divide the length by 1,000.

1,115 mm / 1,000 = 1.115 metres

Answer:

1.115m

Step-by-step explanation:

[tex]radius = \frac{diameter}{2} \\ = \frac{2230}{2} \\ = 1115mm \\ = from \: mm \: to \: m \\ = \frac{1115}{1000} \\ 1.115m[/tex]

Please rate brainliest if you think I deserve

Answer:

Step-by-step explanation:

Given, The length of a rectangle is 4 ft less than three times the width, and the area of the rectangle is 55 ft².

Let's assume width of rectangle be x feet and length be 3x - 4 feet. Using the formula of Area of rectangle we'll find the value of length and width.

[tex] \\ \dashrightarrow{ \red{ \underline{ \underline {\sf\: \:Area _{(rectangle)} = Length \times width}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow\: \: (3x - 4)(x) = 55 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 - 4x = 55 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 - 4x - 55 = 0 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 + 11x - 15x - 55 = 0 \\ [/tex]

[tex]\dashrightarrow\: \: x(3x+11) -5(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow\: \: (x-5)(3x+11) = 0 \\ [/tex]

[tex] { \red{ \dashrightarrow\: \: { \underline{ \underline{ {x = 5 \: or \: \dfrac{-11}{3}}}}}}} \\ \\ [/tex]

Hence,

[tex]\therefore[/tex] The required dimensions of rectangle are 11 feet and 5 feet.

Answer: 12 1/28

Step-by-step explanation:

Add whole numbers. Solve fractions by finding the LCD.

[tex] \: [/tex]

Step-by-step explanation:

It is given that, the height of a triangle is 3cm, and its base is 3cm and we are to find the area of triangle.

[tex] \: [/tex]

To find the area of the triangle, we have to know this formula :

[tex]\\ {\longrightarrow \pmb{\frak {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times Base \times Height \:}}} \\ \\ [/tex]

Now, substituting the values in the formula :

[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times 3 \times 3 \:}}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times 9 \:}}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{9}{2} \:}}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Area_{(Triangle)} = \: 4.5 \:}}} \\ \\ [/tex]

Therefore,

Answer:

4.5cm^2

Step-by-step explanation:

Find area of a square 3*3=9

Half of a square is 9/2=4.5

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

When an exponential function is in the form ...

  y = ab^t

the factor 'b' is called the growth factor. When t is in years, it is related to the annual growth rate (r) by ...

  b = 1 +r

In the alternate form, this can be written ...

  y = a·e^(kt)

Comparing the forms, we see that ...

  b = e^k   ⇒   k = ln(b)

__

  y = 22·1.35^t

  k = ln(1.35) ≈ 0.3001

  y = 22·e^(0.3001t)

The growth factor is greater than 1, so the function is growing.

__

The annual growth rate is ...

  r = 1.35 -1 = 0.35 = 35.00%

__

The continuous growth rate is ...

  k = 0.3001 = 30.01%

Answer:

x= -4

Step-by-step explanation:

adding the two equations,

x+x+y-y=-10+2

2x= -8

x=-4

Answer:

Directly proportional

Step-by-step explanation:

need pic pls so I can answer your questions

Answer:

A'(0,4)
B'(6,-4)
C'(-2, -8)

Step-by-step explanation:

In order to scale a figure by a factor all you have to do is multiply each coordinate by the scaled number.
So in this case we'd take A(0,2) and then multiply the x-value and y-value by 2 to get A'(0,4).
Repeat this for each coordinate to get the answer!

Answer:

Step-by-step explanation:

Remark

Using Algebra, this is a proportion question. A proportion is 2 equal ratios

If the of the 2 ratio parts are known, it is possible to solve for the 4th one.

Formula

9_bats/50_grams::81_bats/x grams insects

Solution

Put the three knowns in and solve for the 4th which is not known

9 bats/ 50 insects = 81 bats /x insects.         Cross multiply

9 * x = 50 * 81                                                  Combine

9x = 4050                                                       Divide by 9

9x/9 = 4050/9

Answer: x = 450 grams

Check the picture below.

Answer:

Step-by-step explanation:

Answer:

(425-330)/n=A

Step-by-step explanation:

Red cube will take 1,1 position (first row, first column).

Yellow cube will take 3, 4 position (third row, fourth column).

Green cube will take 4, 1 position (fourth row, first column).

A pattern is a repeated arrangement of numbers, shapes, colors and so on.

According to the given question.

We have three squares made up of small cubes.

In the three squares, only three cubes of each square are colored by following some pattern.

In the given series of square we can see that, the yellow colored cube moving straight forward. And the green and red cubes are moving diagonally.

Therefore, by following this pattern the  cubes of fourth square of the series will take position:

Red cube will take 1,1 position (first row, first column).

Yellow cube will take 3, 4 position (third row, fourth column).

Green cube will take 4, 1 position (fourth row, first column)

Thus, the third option is correct.

Find out more information about pattern here:

https://brainly.com/question/11606579

#SPJ2

Step-by-step explanation:

If 3 HD and 2HB cost $7.50

2 HD and 3HB cost $8.75

Let,y be HD

Y be HB

So 3y + 2x = $7.50. Eqn 1

2y + 3x = $8.75. Eqn 2

Solve simultaneously

Make x the subject in Eqn 1

3y + 2x = 7.50

2x = 7.50 - 3y

Devide by the coefficient of x

2x/2 = (7.50 - 3y) / 2

X = (7.50 - 3y) /2 Eqn 3

Put Eqn 3 into 2

2y + 3(7.50 - 3y) / 2 = 8.75

2y (22.5 - 9y) / 2 =8. 75

Multiply by the lcm of the denominators

2y x 2 + ((22.5 - 9) / 2) x 2 = 8.75 x2

4y + 22.5 - 9y = 17.50

Group like terms

22.5 - 17.50 = 9y - 4y

5 = 5y

5/5 = (5y) / 5

1 = y Eqn 4

Therefore 1 HD is $1

Put Eqn 4 into eqn 3

X = (7. 50 - 3y) / 2

X = (7.50 - 3(1)) / 2

X = 4.5 / 2

X = 2.25

Therefore 1 HB is $2.25

Answer:

y = 2x + 5

Step-by-step explanation:

REMEMBER:

⇒ The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope.  So the slope of this line is 2.   A line parallel to y = 2x + 2 will have the same slope.  This means the slope of the new line will also be 2.  

To determine the equation of the new line, we can use the given point  to find the y intercept of the new line:
⇒ y = 2x + b

Use x = -1 and y =3 to find b (or the y intercept ) of the new line:

⇒ 3 = 2 * (-1) + b

⇒ 3= -2 + b

⇒ b=5

Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:

⇒ y = 2x + 5

Answer:

y = 2x + 5

Step-by-step explanation:

Given line equation 2x - y + 2 = 0

Equation of line parallel to this line will be of form

=> 2x - y + k = 0 ( where 'k' is a constant )

Now this line passes through (-1,3)

=> 2(-1) - (3) + k = 0

=> -2 - 3 + k = 0

=> k - 5 = 0

=> k = 5

Therefore the required line equation is 2x - y + 5 = 0 or y = 2x + 5

Hope you've understood the solution.

Answer:

The answer is

→ [tex]A_L = 60[/tex]

Step-by-step explanation:

a Base side is 4cm

b Base side is 5cm

c Base side is 11cm

h Height is 3cm

I ran into a problem when inputing the c Base side. It won't allow me to go over 8cm, for some reason. But hold on. I found a solution! :)

a Base side is 4cm

b Base side is 5cm

c Base side is 8cm ← (Don't mind this, I'll explain it below.)

h Height is 3cm

With c Base side being 8cm, the result is [tex]A_L = 51[/tex]. This is clearly incorrect and is not supposed to be like that. But hold on! Let me explain what I did to fix the problem. Since 8cm was the maximum amount, I did this to fix the problem:

51 + 3 = 54 (9cm)

51 + 6 = 57 (10cm)

51 + 9 = 60 (11cm)

Hope this is easy for you to understand...

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt✨

Submitted on 4/16/2022 at 10:20 PM

(To avoid plagarism, by users whom decide to copy.)